Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem

Details Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem

2011-03-15

arxiv.org/abs/1103.3030v1

Mathematics

Analysis of PDEs

45 pages, 4 figures

Scientific paper

In a previous paper we considered a class of infinitely degenerate quasilinear equations and derived a priori bounds for high order derivatives of solutions in terms of the Lipschitz norm. We now show that it is possible to obtain bounds just in terms of the supremum norm for a further subclass of such equations, and we apply the resulting estimates to prove that continuous weak solutions are necessarily smooth. We also obtain existence, uniqueness and interior regularity of solutions for the Dirichlet problem with continuous boundary data.

Affiliated with

Also associated with

No associations

Rating

Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-261553